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2005/04/03 | Togliatti曲线[Togliatti Surface]
类别(∑〖数学〗)
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发表于 13:14
Togliatti (1940, 1949) showed that
quintic surfaces
having 31
ordinary double points
exist, although he did not explicitly derive equations for such surfaces. Beauville (1978) subsequently proved that 31 double points are the maximum possible, and quintic surfaces having 31
ordinary double points
are therefore sometimes called Togliatti surfaces. van Straten (1993) subsequently constructed a three-dimensional family of solutions and in 1994, Barth derived the example known as the
dervish
.
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